have heart set on
have (one's) heart set on (something)
To have a strong (and sometimes inflexible) desire for something. We all had our hearts set on traveling to Spain for the summer, until Lizzy broke her leg and we had to cancel it. I wanted to spend the money on a new car, but my husband had his heart set on getting new furniture for the living room.
have one's heart set on something
Fig. to be desiring and expecting something. Jane has her heart set on going to London. Bob will be disappointed. He had his heart set on going to college this year.